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Analytical model for predicting brittle failures of bolted timber joints

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Abstract

A theoretical model is presented to calculate the stress distribution around a pin-loaded hole in a timber joint and to predict brittle failure modes in bolted connections. The analytical solution uses the stress functions expressed in terms of complex parameters, and it can be considered an application of Lekhnitskii’s theory on stress distributions in anisotropic plates. The influence of the end distance and material properties on development of failure due to the splitting and shear-plug is shown for a dowel-type timber joint. Laboratory experiments on timber joints with 15.9-mm and 9.5-mm bolts loaded parallel to grain have shown good agreement with the model predictions.

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Abbreviations

A :

Complex constant

B :

Complex constant

b :

Width of plate

d :

Diameter of the bolt

D :

Diameter of the hole

e :

End distance

E x :

Perpendicular-to-grain modulus of elasticity

E y :

Longitudinal modulus of elasticity

F :

Resultant force

G xy :

Shear modulus

p :

Average bearing stress

R :

Radius of the hole

S ij :

Elastic compliances of the plate material

λ :

Clearance

u 1, u 2 :

Constants

z k :

Complex variable

μ 1, μ 2 :

Complex parameters of the first order

ν yx :

Coefficient of Poisson

σ x :

Perpendicular-to-grain stress

σ y :

Longitudinal stress

τ xy :

Shear stress

\(\varphi (z_{1})\) and \(\Uppsi (z_{2})\) :

Complex stress functions

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Authors and Affiliations

  1. School of Construction, Faculty of Architecture Medellín, Universidad Nacional de Colombia, Medellin, Colombia

    César Echavarría

  2. CIBISA, Département des sciences du bois et de la forêt, Université Laval, Quebec, Canada, G1K 7P4

    Alexander Salenikovich

Authors
  1. César Echavarría
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  2. Alexander Salenikovich
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Correspondence to César Echavarría.

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Echavarría, C., Salenikovich, A. Analytical model for predicting brittle failures of bolted timber joints. Mater Struct 42, 867–875 (2009). https://doi.org/10.1617/s11527-008-9428-0

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  • DOI: https://doi.org/10.1617/s11527-008-9428-0

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